III. Net Force Questions:
1. If you have an equal amount of force on both sides of the tug of war cart, what happens every time? Explain Why.
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2. A student wanted to investigate changing the mass of a cart that you can push. The student pushed both carts with a force of 200 Newtons. If one cart has a mass of 100kg and the other cart a mass of 50kg, what results would the student expect to see as far as how fast each cart moved in comparison with one another?
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3. A scientist wanted to move a golf ball and a bowling ball to both reach 15 mph. What would the scientist have to do differently for the bowling ball than the golf ball to reach his goal?
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1. If there is an equal amount of force on both sides of the tug of war cart, the cart will not move. This is because the forces on either side of the cart cancel each other out, resulting in a net force of zero.
2. The student would expect to see the cart with a mass of 50kg move faster than the cart with a mass of 100kg. This is because the acceleration of an object is inversely proportional to its mass, according to Newton's second law. Since both carts experience the same force of 200 Newtons, the cart with less mass will experience a larger acceleration and therefore move faster.
3. To move the bowling ball to reach 15 mph, the scientist would have to exert a larger force on the ball compared to the golf ball. This is because the momentum of an object is directly proportional to its mass and velocity. Since the bowling ball is much heavier than the golf ball, it requires a greater force to achieve the same velocity.
1. If you have an equal amount of force on both sides of the tug of war cart, the cart would not move. This is because the net force acting on the cart is zero, as the forces cancel each other out. According to Newton's first law of motion, an object at rest will remain at rest unless acted upon by an unbalanced force. In this case, the forces are balanced, resulting in no motion.
2. The student would expect to see the cart with a mass of 50kg move faster than the cart with a mass of 100kg. This is because of Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Thus, the cart with a smaller mass will experience a larger acceleration for the same force applied, resulting in a higher speed compared to the cart with a larger mass.
3. To make both the golf ball and the bowling ball reach a speed of 15 mph, the scientist would need to apply different forces to each ball. This is because, according to Newton's second law, the force required to accelerate an object is directly proportional to its mass. The bowling ball has a larger mass compared to the golf ball, so it would require a larger force to achieve the same acceleration. Therefore, the scientist would need to apply a larger force to the bowling ball compared to the golf ball in order to make them both reach the desired speed.
1. If you have an equal amount of force on both sides of the tug of war cart, nothing happens. The cart remains stationary. This is because the net force acting on the cart is zero. According to Newton's first law of motion, an object at rest will remain at rest unless acted upon by an unbalanced force. In this case, the forces on either side of the cart cancel each other out, resulting in no net force and no motion.
2. To determine how fast each cart will move, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula to calculate acceleration is given by a = F/m, where a is the acceleration, F is the net force, and m is the mass.
In the given scenario, the force applied by the student is the same for both carts (200 Newtons). Therefore, the cart with the lower mass (50kg) will experience a greater acceleration compared to the cart with the higher mass (100kg). This means that the cart with a mass of 50kg will move faster than the cart with a mass of 100kg.
3. To make both the golf ball and the bowling ball reach a speed of 15 mph, the scientist would have to apply a greater force to the bowling ball than to the golf ball. This is because the mass of the bowling ball is greater than the mass of the golf ball.
According to Newton's second law of motion, the acceleration of an object is inversely proportional to its mass. So, to achieve the same acceleration for both balls, the scientist would have to provide a greater force to the bowling ball to compensate for its greater mass.
In simple terms, if two objects need to move at the same speed, the one with a larger mass requires a greater force to reach that speed due to its inertia.