Given the spring and damping coefficients from the previous question remain unchanged, what would the mass need to be for the system to be critically damped?

A vehicle is travelling at 72 km/h (20 m/s) when the driver sees a couple walk out on to the road 20m ahead (d=20m). The driver brakes immediately and stops just in time to avoid impact (i.e braking distance is 20m). The vehicle decelerates at a constant, gradual rate without skidding.

If the mass of the car is 1000kg, what was the work and power required to decelerate the vehicle?

Which of the following statements is true about oscillating systems?

If a damped oscillator has the following characteristics:

m = 2 kg; x₀ = 90 cm; k = 17 Nm^-1; d_A = 11 kgs^-1,

then it will be:

A 22kg block is traveling at a speed of 100 m/s. This block now collides elastically with a 35kg block. If the 22kg block comes to rest right after the collision, what are the initial and final velocities of the 35kg block?

If a bouncing ball and the ground have a coefficient of restitution of e = 0.870, ignoring air resistance, what is the ratio of the height of the (n + 1)^th bounce to the height of the n^th bounce?

When the driver applies the brakes of a light truck travelling at 40 km/h, it skids 3 m before stopping. How far will the truck skid if it is travelling 80 km/h when the brakes are applied?

Determine the required height h of the roller coaster so that it will reach a speed of 100 km/h at the bottom B while starting from the resting position at the crest of hill A. Use g = 9.81 m/s².