An object is 10. cm from the mirror, its height is 3.0 cm, and the focal length is 2.0 cm. What is the distance from the
1 answer:
The distance from the image to the mirror is C) 2.5 cm
Explanation:
A mirror is an object that reflects the light coming from an object, creating an image of the object itself.
We can solve this problem by using the mirror equation, which states that:
where:
f is the focal length of the mirror
p is the distance between the object and the mirror
q is the distance between the image and the mirror
For the situation in this problem, we have:
f = 2.0 cm is the focal length of the mirror
p = 10.0 cm is the distance of the object from the mirror
Solving for q, we find:
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Answer:
(a) 3.807 s
(b) 145.581 m
Explanation:
Let Δt = t2 - t1 be the time it takes from the moment when the motorcycle starts to accelerate until it catches up with the car. We know that before the acceleration, both vehicles are travelling at a constant speed. So they would maintain a distance of 58 m prior to the acceleration.
The distance traveled by car after Δt (seconds) at speed is
The distance traveled by the motorcycle after Δt (seconds) at speed and acceleration of a = 8 m/s2 is
We know that the motorcycle catches up to the car after Δt, so it must have covered the distance that the car travels, plus their initial distance:
(b)
The acceleration of the box is approximately
Explanation:
According to Newton's second law of motion, the net force acting on the box is equal to the product between its mass and its acceleration:
where
is the net force
m = 12.0 kg is the mass of the box
a is the acceleration
The net force can be written as
where
is the applied forward force
is the friction force
Combining the two equations,
And solving for the acceleration,
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