Unit Three - Forces and Newton's Laws of Motion

Mathematical Assignment

1. The mass of a train is 30,000 kg. If the train accelerates at 1.1 m/s², what net force (in Newtons) acts on the train?

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2. What is the weight (in Newtons) of a 1 kg object?

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3. A rocket with a mass of 4,000 kg has an engine that exerts a force of 40,000 N. What is the rocket's acceleration (in m/s²) at take-off?

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4. A helicopter is built to withstand a maximum acceleration of 8 g. If its mass is 600 kg, what force (in N) would cause this acceleration?

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5. A force of 20 N is applied to a mass of 500 grams. What is the acceleration of the mass (in m/s²)?

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6. If the distance of the moon to earth were 0.25 times its current distance, the moon would exert a gravitational force on the earth how many times larger than its current value?

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7. Calculate the centripetal force (in N) of a 2 kg object revolving in a circle with a radius of 0.5 m at a velocity of 6 m/s?

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8. Calculate the mass of an object (in kg) if a 10 N force causes the object to accelerate 5 m/s² on a frictionless surface.

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9. Calculate the acceleration due to gravity (g) in m/s² on a planet, other than earth, where a 5 kg object weighs 20 N.

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10.Two ropes apply a force to a boat. The first is 100 N in the positive x direction and 100 N in the positive y direction. What is the magnitude and direction of the resulting net force?

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