Mechanics | Relativity Answers

 A car velocity increases from 24 kph to 80 kph while traveling 80 m. Compute its (a) acceleration and (b) the time period during this acceleration.

A man makes 2.5 laps around a circular lap 2.5 minutes. The circumference of the track is 126 m while its diameter is 40 m. Compute the man’s (a) average speed, and (b) average velocity.

A car’s odometer (the meter that measures the distance traveled by the car) reads 25,943 km at the start of a trip. It the reads 26,246 km at the end of the trip. The entire trip took a total of 3.5 hours. Determine the car’s average speed in units of (a) km/h and (b) m/s.

In a carnival booth, you win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point. If you toss the coin with a velocity of at an angle of above the horizontal, the coin lands in the dish. You can ignore air resistance.

(a) What is the height of the shelf above the point where the quarter leaves your hand?

(b) What is the vertical component of the velocity of the quarter just before it lands in the

dish?

What is the volume of change of 2m³ of water at 20°C due to an applied pressure of 10 MPa?

Angelo was observing an ant that crawled along a tabletop. With a piece of chalk, he followed its path. He determined the ant⠀ ™s displacements by using a ruler and protractor. The displacements as follows: 3.0 cm, east; 2.5 cm, 30 north of east; 1.5 cm, 30⠁ ° west of north. Where is the final location of the ant? Use graphical method.

Use the following information to answer the next two independent questions.

A block of mass 5.4

5.4 kg is situated on the incline as shown. It is attached to an anchored spring of stiffness 136

136 N/m, also as shown.

The incline angle is such that sin(𝜃)=4/5,cos(𝜃)=3/5

sin⁡(θ)=4/5,cos⁡(θ)=3/5. Take g = 9.81 m/s² and enter both answers correct to three sig digs.

a) [2] If the spring is stretched by 0.3

0.3 m, and the block remains at rest then what is the magnitude and direction of the static frictional force acting on the block?

(With x-positive measured down the incline, enter a positive value if your static friction points down the incline, and a negative value if it points up the incline.)

𝑓𝑠=?

b) [2] If the coefficient of static friction is 0.53

0.53, what is the largest extension the spring can have from its equilibrium length so that the block remains motionless?

𝑥𝑚𝑎𝑥=?

A person runs with an initial velocity of 5.0 m/s. Then he slows down at a constant rate of -1.2 m/s² over a period of 3 seconds. What is his velocity at the end of time.

a block of mass 5kg and a block of mass 12kg are attached by a lightweight cord that passes over a frictionless