Mechanics | Relativity Answers

A water droplet is released from a cloud and hit a roof which is inclined 60 degrees to horizontal, after hitting the roof droplet becomes rest. Volume of drop is 0.25 cm3 . Droplet initially drops a distance of 20m under decreasing acceleration and then the rest with uniform velocity, find the height to the cloud if droplet moves 98 seconds under constant velocity

Determine the workdone by a force F= xyi cap +yzj cap + xz k cap in taking a particle along the path defined by the equation r

The length (𝑙) and Time Period (𝑇) of a simple pendulum are related as: 𝑇 = 2𝜋√

𝑙

𝑔

, where 

𝑔 is acceleration due to gravity. In an experiment the following values for 𝑙 and 𝑇 are found:

𝑙 (in cm) 𝑇 (in seconds) 𝑙 (in cm) 𝑇 (in seconds) 𝑙 (in cm) 𝑇 (in seconds)

50 1.41 70 1.67 90 1.90

55 1.48 75 1.73 95 1.95

60 1.55 80 1.79 100 2.00

65 1.61 85 1.84

You can verify, if you like, taking 𝑔 ≈ 981 𝑐𝑚 𝑠

−2

. The values of 𝑇 are approximated to the 

second place after decimal. Draw the 𝑙 − 𝑇 graph (do it manually, don’t use a computer

A cannon-ball is fired horizontally off of the edge of a cliff. When the cannon-ball hits the water below it hits the water with a velocity of 19 m s⁻¹ at an angle of 65° below the horizontal.

How tall was the cliff? (in m to 2.s.f)

What is the use of air pump?

Select one:

-To measure the position.

-To measure the distance.

-To record the motion of the glider.

-To measure the speed.

-To reduce the friction

Two cars A and B are moving along a straight road in the same direction with velocities of 25 km/h and 40 km/h, respectively. Find the velocity of car B relative to car A.

 Two cars A and B are moving along a straight road in the same direction with velocities of 25 km/h and 40 km/h, respectively. Find the velocity of car B relative to car A.

Calculate the average force that must be exerted on 0.145 KG baseball in order to give it an acceleration of 130 m/s²

The figure shows two vectors d₁, and d₂.

If θ = 45°, the magnitude of d₁ is 5.0, and the magnitude of d₂ is 4.0 then what is the magnitude of the vector R where:

Give your answer to 2 s.f.