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An automobile battery has an emf of 12.6 V and an internal resistance of 0.080 Ω. The headlights together have an equivalent resistance of 5.00 Ω (assumed constant). What is the potential difference across the headlight bulbs (a) when they are the only load on the battery and (b) when the starter motor is operated, with 35.0 A of current in the motor?

A standing wave on a string of length L = 2 m has a wavelength λ = 0.5 m. The strings oscillates in its:

Suppose the manager of a plant is concerned with the total number of man-hours lost due to accidents for the past 12 months. The company statistician has reported the mean number of man – hours lost per month but did not keep a record of the total sum. Should the manager order the study repeated to obtain the desired information? explain your answer clearly.

A 500g metal ball is brought to the moon. What is its weight on Earth? on the moon? What is its mass on Earth? on the moon?

You are riding a car moving north at a constant speed of 180 km/h. In the other lane is a truck that moves at a constant speed of 100 km/h to the south. Relative to you, what is the speed of the truck when it is approaching you?

1. Calculate the rotational inertia of a 27.0 kg solid cylinder whose diameter is 0.24m about an axis of the cylinder.

2. A disk spins at a rate of 6000 radians every 10 minutes.

(a) What is the angular velocity of the disk in rad/s. (b) What is the angular velocity of the wheel in rpm (rotations per minute)?

3. A car wheel of radius 20 inches rotates at 8 revolutions per second on the highway. What is the angular speed of the tire?

1. Calculate the rotational inertia of a 27.0 kg solid cylinder whose diameter is 0.24m about an axis of the cylinder.

2. A disk spins at a rate of 6000 radians every 10 minutes.

(a) What is the angular velocity of the disk in rad/s. (b) What is the angular velocity of the wheel in rpm (rotations per minute)?

3. A car wheel of radius 20 inches rotates at 8 revolutions per second on the highway. What is the angular speed of the tire?

Find the force a 67.5kg man would experience while standing on the surface of each of the following planets.

Earth - Mass = 5.98 x 10²⁴ kg - Distance = 6.337 x 10⁵m - Force(N) =?

Mars - Mass = 6.34 x 10²³kg - Distance = 3.43 x 10⁵m - Force(N)=?

Pluto - Mass = 5 x 10²³kg - Distance = 4 x10⁵m - Force (N) = ?

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If a hemispherical tank of radius R has an orifice of area a, at its base,determine the time required to empty the tank assuming the tank was initially full.

An object of mass m which has initial velocity u falls vertically from a certain height of Value h. Assuming this object is been acted upon by gravity alone deduce an equation to describe its position after t seconds.secondly assuming the object in question experiences some air resistance such that the air resistance is proportional to the square of the velocity: deduce an equation expressing when this object attains terminal velocity and also the distance s it has traveled at a time t despite the resistance offered to the object