Hi there!
Recall:
Impulse = Change in momentum
I = Δp = mΔv = m(vf - vi)
Let the direction TOWARDS the floor be POSITIVE, and AWAY be NEGATIVE.
Plug in the givan values:
Δp = 1.5(-10 - 12) = -33 Ns
**OR, the magnitude: |-33| = 33 Ns
Answer;
B. both a non-directional and directional hypothesis
Explanation;
A two-tailed test is the standard test of significance to determine if there is a relationship between variables in either direction. Two-tailed tests do this by dividing the .05 in two and putting half on each side of the bell curve.
A non-directional hypothesis is a type of alternative hypothesis used in statistical significance testing. In contrast, a directional alternative hypothesis specifies the direction of the tested relationship, stating that one variable is predicted to be larger or smaller than null value, but not both.
Answer:
15.03 m
Explanation:
Given:
mass of the block, m = 7.25 kg
Angle, Θ = 28.5°
Initial speed of the block, v₀ = 15 m/s
let the distance traveled by the block be 's'
Now, applying the work energy theorem,
we have

on substituting the values in the above equation, we get

or

or

s = 15.03 m
Hence, the block will travel 15.03 m up the ramp