A stone thrown horizontally from the top of a vertical ice is completely melted. Determine the total mass of wall with a velocity of 15ms\(^{-1}\), hits the horizontal ground water in the container at a point 45m from the base of the wall. Calculate the specific latent heat of steam = 2.3 x 10\(^3\) Jg\(^{-1}\) height of the wall. [g = 10ms\(^{-2}\)]

A 100 kg device is pulled up a plane inclined at 30° to the horizontal with a force of 1000 N. If the coefficient of friction between the device and the surface is 0.25, determine the total force opposing the motion. [ g = 10 ms^-2]

• A. 283.5N
• B. 975.0N
• C. 216.5N
• D. 716.5N

A lead shot is projected from tha ground level with a velocity u at an angle \(\theta\) to the horizontal. Given the time, t for the lead shot to reach its maximum height as; t = \(\frac{u \sin \theta}{g}\) where "g" is the acceleration of free fall due to gravity, show that the greatest height reached by the body is h\(_{\text{max}} = \frac{u^2 \sin^2 \theta}{2g}\)

Three capacitors each of capacitance 18\(\mu F\) are connected in series. Calculate the effective capacitance of the capacitors

• A. 54.00\(\mu F\)
• B. 18.00\(\mu F\)
• C. 6.00\(\mu F\)
• D. 0.17\(\mu F\)

The magnification of an object 2cm tall when placed 10cm in front of a plane mirror is

• A. 6.0
• B. 1.0
• C. 0.7
• D. 0.6

Vibration in a stretched spring cannot be polarized because they are

• A. stationary waves
• B. transverse waves
• C. longitudinal waves
• D. mechanical waves

Which of the following instruments may be used to measure relative humidity?

• A. Hydrometer
• B. Manometer
• C. Hygrometer
• D. Hypsometer

If the distance between two suspended masses 10kg each is tripled, the gravitational force of attraction between them is reduced by

• A. one half
• B. one third
• C. one quarter
• D. one ninth

A lamp is rated 240V 60W, calculate the resistance of its filament

• A. 240Ω
• B. 360Ω
• C. 960Ω
• D. 1440Ω

A block of mass 4.0kg causes a spiral spring to extend by 0.16m from its unstretched position. The block is removed and another body of mass 0.50kg is hung from the same spiral spring. If the spring is then stretched and released, what is the angular frequency of the subsequent motion? [g = 10 ms^-2]

• A. 10\(\sqrt 5\) rads^-1
• B. 5\(\sqrt 2\) rads^-1
• C. 5 rads^-1
• D. \(\sqrt 5\) rads^-1