Answer:
The first two statements are false
The third statement is true
Explanation:
<u>The dot product assures that the integrand is always nonnegative.</u>
The dot product may be negative, this could ocurr when the vectors are directed oposite each other, for example take the unitary vector i and -i its doct product will give -1.
Another way to consider this is to take the definition of the dot product in terms of teh angle between the vetcors:
When θ>π :
cos(θ)<0
<u>The dot product indicates that only the component of the force perpendicular to the path contributes to the integral</u>
In fact the dot product is a projection of the vectors, the perpendicular component may be obtained using the cross product
<u>The dot product indicates that only the component of the force parallel to the path contributes to the integral.</u>
This one is true, since the dot product gives the projection of one vector to another, that is, the parallel component of the vector among the other one
Answer:
Explanation:
Given
Mass = m
Time = t
Force = mass × acceleration ..... 1
Where acceleration = velocity/time
Ave Force = m×∆v/∆t
= mv/t
The vertical component of
this acceleration will be:
A= mgsin^2 <span> θ</span>
The downward fforce exerted by the hamster on the block and
on the scle will be
F = -ma
The reading will be like this:
Reading = Mg + mg sin^2 θ
= (0.820) (9.8) +
(0.190) (9.8) sin^2 (0)
<span>Reading = 8.036 N</span>
4-5 mins at max. Depends on the brand
Answer:
The time of motion is 0.64 s.
Explanation:
Given;
mass of the apple, m = 107 g
height of fall, h = 2 m
The velocity of the apple when it hits the ground is calculated from the law of conservation of energy;
The time of motion is calculated;
v = u + gt
6.261 = 0 + 9.8t
6.261 = 9.8t
t = 6.261 / 9.8
t = 0.64 s
Therefore, the time of motion is 0.64 s