Answer:
Mechanical advantage: 4. Speed is multiplied
Explanation:
The mechanical advantage of gear combination is

where
is the number of teeth in the input gear
is the number of teeth in the output gear
Here we have

So we find

In this example, it is the speed to be multiplied: the speed of the output gear is 4 times larger than the speed of the input gear. In fact, the mechanical advantage can be rewritten as

where
is the angular speed of the input gear
is angular speed of the output gear
So re-arranging the equation, we find

so, the speed of the output gear is 4 times larger than the speed of the input gear.
Answer:250N
Explanation:
Spring constant=500N/m
Extension=0.5m
Weight=spring constant x extension
Weight=500 x 0.5
Weight=250
Weight is 250N
Answer:
the value of vA that will allow the car to coast in neutral so as to just reach the top of the 150 m high hill at B with vB = 0 is 31.3 m/s
Explanation:
given information
car's mass, m = 1200 kg
= 100 m
= 
= 150 m
= 0
according to conservative energy
the distance from point A to B, h = 150 m - 100 m = 50 m
the initial speed 
final speed
= 0
thus,
² =
² - 2 g h
0 =
² - 2 g h
² = 2 g h
= √2 g h
= √2 (9.8) (50)
= 31.3 m/s
Downward force of magnitude 5 N is exerted on the book by the force of <em>gravity</em>. We call that the "weight" of the book.
At the same time, upward force of 5 N is exerted on the book by the table. This one is called the "normal force".
Since the vertical forces on the book are 'balanced' (add up to zero), the book just lays there on the table, and does not accelerate.