Investigating Forces & Motion

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INI File | 1998-02-10 | 10KB | 325 lines

[question1] type:2 caption:\ A 1.0 kg iron ball and a 5.0 kg iron ball are dropped together from a \ tall tower. Which ball reaches the ground first? correct:Both balls reach the ground together. wrong1:The 1.0 kg ball. wrong2:The 5.0 kg ball. wrong3:It is not possible to say. feedback:\ Gravity causes all objects to accelerate at the same rate. Therefore, \ apart from the small effect of air resistance, the balls will reach \ the ground together. [question2] type:2 caption:\ One of the following statements about gravity is true. Which one is \ it? correct:All objects with mass are attracted by the force of gravity. wrong1:The force of gravity only acts on the surface of the Earth. wrong2:The force of gravity can both attract and repel. wrong3:\ The force of gravity accelerates large objects more rapidly than small \ ones. feedback:\ The true statement says that all objects with mass are attracted by \ the force of gravity. All the other statements are false. [question3] type:2 caption:\ What is the value of the acceleration due to gravity at the Earth's \ surface? correct:9.81 m/s2 wrong1:1.0 m/s2 wrong2:1.6 m/s2 wrong3:100 m/s2 feedback:\ The acceleration due to gravity at the Earth's surface is 9.81 \ m/s2. [question4] type:2 caption:\ The weight of an object is the force of gravity acting upon it. Which \ of the following equations can you use to calculate the weight of a \ mass, m, on the surface of the Earth, where the acceleration \ due to gravity is g? correct:weight = mg wrong1:weight = m/g wrong2:weight = m + g wrong3:weight = g/m feedback:weight = mg. [question5] type:2 caption:\ What is the weight of a 5.0 kg mass on the Earth's surface? (Assume \ that g = 9.8 m/s2.) correct:49 N wrong1:9.8 N wrong2:5.0 N wrong3:4.9 N feedback:\ weight = mg\ <center>= 5.0 x 9.8</center>\ <center>= 49 N.</center> [question6] type:2 caption:\ A sack weighs 1 960 N. What is its mass? (Assume that g = 9.8 \ m/s2.) correct:200 kg wrong1:196 kg wrong2:1 960 kg wrong3:19 208 kg feedback:\ If weight = mg, then:\ <img src="sa5q6a" align=center>\ <img src="sa5q6b" align=center>\ <center>= 200 kg.</center> [question7] type:2 caption:\ What is the weight of a 5.0 kg mass on the Moon? (The acceleration due \ to gravity at the lunar surface is 1.6 m/s2.) correct:8.0 N wrong1:5.0 N wrong2:6.6 N wrong3:zero feedback:\ On the Moon g = 1.6 m/s2.\ Use the equation:\ weight = mg\ \ Substituting the values, we get:\ <center>= 5.0 x 1.6</center>\ <center>= 8.0 N.</center> [question8] type:2 caption:\ A tool box weighs 24 N on the Moon. What is its mass? (The \ acceleration due to gravity at the lunar surface is 1.6 \ m/s2.) correct:15 kg wrong1:24 kg wrong2:1.6 kg wrong3:zero feedback:\ On the Moon g = 1.6 m/s2.\ By rearranging the equation weight = mg, we get:\ <img src="sa5q6a" align=center>\ <img src="sa5q8a" align=center>\ <center>= 15 kg.</center> [question9] type:1 image:5g7 caption:\ This diagram shows velocity-time graphs for objects falling on the \ surfaces of four different planets. Which one is planet Earth? correct:B wrong1:A wrong2:C wrong3:D feedback:\ The gradient of a velocity-time graph is the acceleration. The graph \ for planet B shows that the velocity increases by 20 m/s in 2.0 s. Its \ gradient is therefore 20÷2 = 10 m/s2. This corresponds \ to the acceleration due to gravity on Earth. [question10] type:3 caption:\ Which diagram shows the displacement-time graph for an object falling \ freely towards the Earth? (Down is positive.) correct:5g8d wrong1:5g8a wrong2:5g8b wrong3:5g8c feedback:\ The acceleration due to gravity is uniform. The distance fallen by an \ object in equal time intervals increases as time increases. The \ displacement-time graph is a parabola. [question11] type:1 image:5g9 caption:\ Ball B is fired horizontally at the same time as ball A is dropped \ vertically. Which ball reaches the ground first? correct:Both reach the ground together. wrong1:Ball A. wrong2:Ball B. wrong3:It is not possible to say. feedback:\ The horizontal motion of B does not influence its vertical motion. \ Both balls fall at the same rate and reach the ground together. [question12] type:3 caption:\ A package is dropped from a moving aircraft. Which diagram shows the \ trajectory (path) of the package as it falls to the ground? correct:5g10d wrong1:5g10a wrong2:5g10b wrong3:5g10c feedback:\ The package follows the parabolic path of a projectile and lands \ directly beneath the plane. [question13] type:1 image:5g11 caption:\ A girl throws a ball at an angle of 45° so that it follows a \ parabolic trajectory (path). Which graph shows how the ball's vertical \ velocity changes with time? (Up is positive.) correct:D wrong1:A wrong2:B wrong3:C feedback:\ The vertical motion is accelerated by gravity. The ball slows down at \ a uniform rate until it reaches its maximum height. It then speeds up \ again in the opposite (negative) direction. [question14] type:1 image:5g11 caption:\ A girl throws a ball at an angle of 45° so that it follows a \ parabolic trajectory (path). Which graph shows how the ball's \ horizontal velocity changes with time? correct:B wrong1:A wrong2:C wrong3:D feedback:\ The horizontal motion is not affected by gravity. The horizontal \ velocity is constant. [question15] type:2 caption:\ A boy throws a stone horizontally with a velocity of 10 m/s from the \ edge of a vertical cliff. The stone splashes into the sea 3.0 seconds \ later. How far is the stone from the cliff when it hits the water? correct:30 m wrong1:29.4 m wrong2:10 m wrong3:3.4 m feedback:\ The horizontal velocity is constant.\ Use the equation:\ <img src="sa5q15a" align=center>\ Therefore,\ distance = speed x time\ <center>= 10 x 3.0</center>\ <center>= 30 m.</center> [question16] type:2 caption:\ A boy throws a stone horizontally with a velocity of 10 m/s from the \ edge of a vertical cliff. The stone splashes into the sea 3.0 seconds \ later. How high is the cliff? (Assume that g = 10 \ m/s2.) correct:45 m wrong1:10 m wrong2:30 m wrong3:90 m feedback:\ The vertical motion of the stone is accelerated by gravity.\ Sign convention: down is positive.\ Known and unknown values:\ u = 0.0 m/s\ t = 3.0 s\ g = 10 m/s2\ s = ?\ \ Use the equation:\ s = ut + ½ at2\ Substituting the values, we get:\ s = 0.0 + ½ x 10 x 3.02\ <center>= 45 m.</center> [question17] type:2 caption:Which of the following forces is not the force of gravity? correct:The force that stops you from falling through the seat of your chair. wrong1:The force that holds the planets in their orbits around the Sun. wrong2:The force that gives objects their weight. wrong3:The force that makes projectiles follow parabolic trajectories. feedback:\ The forces that stop you falling through the seat of your chair are \ the electrical forces between atoms in your body and atoms in the \ chair. The other three forces are all examples of the force of \ gravity. [question18] type:1 image:5g12 caption:\ The accelerations due to gravity at the surfaces of four different \ planets are given in the table. On which planet would a 20 kg mass \ weigh 86 N? correct:Y wrong1:W wrong2:X wrong3:Z feedback:\ If weight = mg, then:\ <img src="sa5q18a" align=center>\ <img src="sa5q18b" align=center>\ <center>= 4.3 m/s2.</center> [question19] type:1 image:5g12 caption:\ The accelerations due to gravity at the surfaces of four different \ planets are given in the table. On which planet would you weigh more \ than twice as much as on Earth? correct:W wrong1:X wrong2:Y wrong3:Z feedback:\ The formula for weight is:\ weight = mg\ \ On Earth, g = 9.81 m/s2\ On Planet W, g = 21 m/s2, which is more than twice \ the Earth's acceleration due to gravity. You would therefore weigh \ more than twice as much on Planet W.\ The acceleration due to gravity on the other three planets is less \ than that on the Earth. You would weigh less on any of these three \ planets. [question20] type:2 caption:\ One of these statements about gravity and motion is false. Which one \ is it? correct:\ Because objects are weightless in space, they can be accelerated \ without any force. wrong1:Gravity acts between all objects with mass. wrong2:\ The force of gravity at the surface of the Earth causes all objects to \ accelerate at the same rate. wrong3:\ The Earth's gravity only changes the vertical motion of a projectile, \ it does not affect the horizontal motion. feedback:\ Objects are weightless in space, but they still have mass. A force is \ still needed to produce an acceleration.