2.71 m/s fast Hans is moving after the collision.
<u>Explanation</u>:
Given that,
Mass of Jeremy is 120 kg ()
Speed of Jeremy is 3 m/s ()
Speed of Jeremy after collision is () -2.5 m/s
Mass of Hans is 140 kg ()
Speed of Hans is -2 m/s ()
Speed of Hans after collision is ()
Linear momentum is defined as “mass time’s speed of the vehicle”. Linear momentum before the collision of Jeremy and Hans is
=
Substitute the given values,
= 120 × 3 + 140 × (-2)
= 360 + (-280)
= 80 kg m/s
Linear momentum after the collision of Jeremy and Hans is
=
= 120 × (-2.5) + 140 ×
= -300 + 140 ×
We know that conservation of liner momentum,
Linear momentum before the collision = Linear momentum after the collision
80 = -300 + 140 ×
80 + 300 = 140 ×
380 = 140 ×
380/140=
= 2.71 m/s
2.71 m/s fast Hans is moving after the collision.
The product of √30 and √610 is 10√183.
√30 = √(2×3×5)
and √610 = √(2×5×61
Since 61 can't be factorised further.
Therefore, the value of √30×√610 is
= √(2×3×5×2×5×61)
= 2×5×√(3×61)
=10√183
Data:
Ep = ? (Joule)
if: F = k.x → F = 10 N
x (displacement) = 0.20 m
Formula:
Solving:
Sure enough !
Acceleration means any change in speed OR DIRECTION of motion.
So if something is moving in a circle or around a curve, even at constant
speed, its direction is changing, so acceleration is not zero.
The correct answer is "wavelength".
In fact, the wavelength of a wave corresponds to the distance between two consecutive same-shape points of the wave: for instance, the distance between two consecutive crests, or the distance between two consecutive throughs.
For the wave in this problem, t<span>he distance between two consecutive crests is 2.5 meters, therefore the wavelength of the wave is 2.5 m.</span>