Explanation:
Work is the dot product of the force and displacement vectors.
W = F · d
In other words, it is the force times the parallel component of the distance.
W = F d cos θ, where θ is the angle between the force and distance.
A roller coaster is stopped on a track. When the engineer presses a launch button on the coaster, the coaster moves forward. Explain this change in terms of balanced and unbalanced forces.
Answer:
The diameter of the bull-wheel is 3.82
Explanation:
Given that,
Velocity = 2.0 m/s
Angular velocity = 10 rev/m


We need to calculate the diameter of bull-wheel
Using formula of angular velocity


Put the value into the formula


The diameter of the bull-wheel



Hence, The diameter of the bull-wheel is 3.82 m.

- The angle between the two vectors is 90° .

- The dot product of two vectors .
- The cross product of two vectors .

⚡ Let
and
are the two vectors .
✍️ We have know that,

Where,



[1] The dot product of two vectors is “ <u>0</u> ” .
✍️ We have know that,

Where,



[2] The cross product of two vectors is “ <u>ab</u> ” .
Answer: 13.2 seconds.
Explanation: using equation of motion; S= ut +1/2at² where u = initial velocity=0
S= distance travelled
a = acceleration due gravity
t= time.
1 foot = 0.305m so,
S= 2860 feet =872.3m
S= ut+1/2 at²
872.3 = 0×t + 1/2×10 × t²
872.3 =0 + 5t²
T²= 872.3/5
T²= 174.46
Take the square root of T we then have;
t = 13.2 seconds to one decimal place.