Mechanics | Relativity Answers

A force of 1,200 N is exerted on the small piston of a hydraulic press. The area of the small piston is 24 cm2 while the area of the larger piston is 360 cm2. What force will the larger piston sustain?

What average force is required to push a 20.0 -kg stroller with your toddler in it for 5.0 seconds if the weight of the toddler is 15.0 kg? Suppose that you can push with a speed of 1 m/s and the stroller is initially at rest

A hydraulic circular rod having a 100mm diameter and 2m long is

pulled by a force of 200 N.

It moves with a constant velocity within a

circular hollow tube of 101mm internal diameter.

The clearance of

0.5mm between the rod and the tube is filled with oil of specific gravity

0.8 and kinematic viscosity 400 mm^2/s as shown in the figure below.

Determine the velocity of the rod in units of m/s.

A simple pendulum is found to vibrate 50 times within 200seconds. When 1.5m of its length is reduced to a certain length, it vibrates 50 times in 175s. Find the original length of the pendulum.

A block weighing 100 N and having dimensions 200 mm on an edge is

allowed to slide down an incline on a film of oil having a thickness of 0.05 mm.

If a linear velocity profile in the oil is assumed, what is the terminal

speed of the block?

The viscosity of the oil is 7*10^-2 Ns/m^2

A rechargeable battery has "emf_{\u03b5battery}""=14.0V", internal resistance "r=4.00\\Omega" and battery capacity (total charge) "2.00 Ah".

When the battery is fully charged, a light bulb is connected to it for 8 hours (see picture above). The light bulb has specs "14.00V" and "1.00W". We assume the light bulb has constant resistance (independent of the current) and the emf of the battery remains constant.

After these 8 hours the battery is disconnected from the light bulb and connected in this circuit for charging:

The charger consists of a ideal voltage source with "emf_\u03b5=20.0 V"  (with no internal resistance) and a resistor "R_1"  in series.

(a) What is the minimum time that is needed to fully recharge the battery (with "R_1=0\\Omega")

(b) What should the resistance "R_1"  be to fully recharge the battery in exactly 1 hour?

 On its maiden voyage in July 1952, the liner United States won the coveted Blue Ribbon for the fastest crossing of the Atlantic from New York to Cornwall, U.K. The trip took 3 days 10 hours 40 min at an average speed of 34.5 knots (65.5 km/h). This was 10 h 2 min less than the 14-year-old record held by the Queen Mary. What was the average speed of the Queen Mary ?

8) On its maiden voyage in July 1952, the liner United States won the coveted Blue Ribbon for the fastest crossing of the Atlantic from New York to Cornwall, U.K. The trip took 3 days 10 hours 40 min at an average speed of 34.5 knots (65.5 km/h). This was 10 h 2 min less than the 14-year-old record held by the Queen Mary. What was the average speed of the Queen Mary

Travis Whitcomb wants to purchase a new car with a $25,000 base price and options totaling$2,190. The destination charge is $643. He reads a consumer magazine article that the dealer's cost for the caer is about 91% of the base price and 87.5% of the options price. what should he estmate as the dealer's cost?

Given the bulk modulus of sea water is 2.2*10^9Pa

and the density of

surface sea water is 1.025*10^3 kg/m^3

Calculate the volume of

1.025*10^3 kg of sea water at a depth near

5 km where the pressure is

5.0*10^7 Pa.