Help With Assignment Questions (Forces)

[_Pistolkisses]

If anyone can give me any steps to take, or formulas to use when solving these I would REALLY appreaciate it. These ones have really stumped me.

1. Beavis and Butthead are out in space, or you may say "spaced-out". The force of attraction between them is 30N. Suddenly, Beavis takes a blue MEP (mass enhancing pill) and cuts his mass in half, and Butthead takes a green MEP and his mass triples. While they were doing this the distance between them doubled. What is the new force of attraction between them?

2. A tennis racket, in contact with a 55g ball for 0.0050 s, changes the ball's velocity from 30m/s [E] to 40m/s [W]. What is the average force exerted on the ball?

3. Two boxes of canned goods, 35 kg and 10 kg, are side by side on a frictionless surface. A horizontal force of 90N is applied to the 35kg box to move both both boxes. Determine the magnitude of the action and reaction forces between the two boxes.

4. The planet NUR has a radius of 2.4 x 10^6 m and a mass of 2.0 x 10^26 kg. How long would it take a 55kg NURD to hit the ground if he fell from a 30m high building?

Thanks.

 

[Nate810]

1. The new force of attraction between Beavis and Butthead can be calculated using the equation F = GMm/r^2, where G is the gravitational constant, M and m are the masses of Beavis and Butthead, and r is the distance between them. After the MEPs, M becomes 3M and m becomes M/2, so the new force of attraction is (6GM^2)/(4r^2).2. The average force exerted on the ball can be calculated using the equation F = mv/t, where m is the mass of the ball, v is the change in velocity, and t is the time of contact. The average force is (55g x 10 m/s) / 0.0050 s = 11,000 N.3. The magnitude of the action and reaction forces between the two boxes can be calculated using the equation F = mA, where m is the combined mass of the boxes (45 kg), and A is the acceleration of the system. Since the force applied to the 35kg box is 90N and the acceleration is 2 m/s^2, the magnitude of the action and reaction forces between the two boxes is 180 N.4. The time it would take a 55kg NURD to hit the ground if he fell from a 30m high building can be calculated using the equation t = √(2s/g), where s is the height of the building (30m) and g is the gravitational acceleration of the planet (9.8 m/s^2). The time is approximately 1.7 seconds.

 

[kyle8921]

1. To solve this problem, we can use the formula for Newton's Law of Universal Gravitation: F = (Gm1m2)/r^2, where F is the force of attraction, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. In this case, we know that the distance between Beavis and Butthead doubled, so r is now 2 times its original value. We also know that Beavis' mass is now half of its original value, and Butthead's mass is triple its original value. Plugging in these values into the formula, we get: F = (6.67x10^-11)(0.5m)(3m)/(2r)^2 = 30N. Solving for r, we get r = 0.5m. Therefore, the new force of attraction between Beavis and Butthead is F = (6.67x10^-11)(0.5m)(3m)/(0.5m)^2 = 120N.

2. To solve this problem, we can use the formula F = mΔv/Δt, where F is the average force exerted, m is the mass of the ball, Δv is the change in velocity, and Δt is the time interval. Plugging in the given values, we get: F = (0.055kg)(40m/s - 30m/s)/(0.0050s) = 110N. Therefore, the average force exerted on the ball is 110N.

3. To solve this problem, we can use Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. Therefore, the magnitude of the action force exerted by the 90N force on the 35kg box is 90N. Since the two boxes are in contact with each other, the reaction force exerted by the 35kg box on the 10kg box is also 90N.

4. To solve this problem, we can use the equations of motion under constant acceleration. First, we need to find the acceleration due to gravity on planet NUR, which can be calculated using the formula g = GM/r^2, where G is the gravitational constant, M is the mass of the planet, and r is its radius. Plugging in the