The vertical force exerted on the lawn is 68.8 N downward
Explanation:
The vertical force exerted by the lawnmower on the lawn is equal to the vertical component of the force applied, therefore:

where
F is the magnitude of the force applied
is the angle between the direction of the force and the horizontal
In this problem:
F = 120 N
Substituting,

where the negative sign means the direction of the force is downward.
Learn more about vector components and forces here:
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1 watt = 1 joule per second = 1 newton meter per second = 1 kg m2 s-3
Answer:
(a) Power= 207.97 kW
(b) Range= 5768.6 meter
Explanation:
Given,
Mass of bullet, 
Kinetic energy imparted, 
Length of rifle barrel, 
(a)
Let the speed of bullet when it leaves the barrel is
.
Kinetic energy, 



Initial speed of bullet, 
The average speed in the barrel,

Time taken by bullet to cross the barrel, 

Power,

(b)
In projectile motion,
Maximum height, 
Range, 
given that, 
then, 
Answer:
The moment of inertia of the wood sphere is greater than that of
the one made of lead.
Explanation:
The formula for resonant frequency is:

Given information:

Plug in the given values to find one value of capacitance:

Plug in the given values to find the other value of capacitance:

This gives a range of 2.429 nF to 26.45 nF.
With significant figures taken into account, the range of capacitance is 2.43 nF to 30 nF.