Answer:
The result is a vector perpendicular to the xy plane: 23.38 k
Explanation:
The cross product of two vectors r and s is defined only in three-dimensional space and is denoted by r × s. The cross product is defined by the formula:
r × s =║r║·║s║· Sin θ· n
where θ is the angle between r and s in the plane containing them, ‖r‖ and ‖s‖ are the magnitudes of vectors r and s, and n is a unit vector perpendicular to the plane containing a and b in the direction given by the right-hand rule.
So, the result is:
r × s = 4.40 * 7.45 * Sin (134.5°) k = 23.38 k
Answer:
Explanation:
v² = u² + 2as
s = (v² - u²) / 2a
s = (29.88² - 6.73²) / (2(5.22))
s = 81.1802203065...
s = 81.18 m
Answer:
Velocity of car = 75 m/s
Explanation:
Given:
Mass = 1,600 kg
Momentum = 120,000kgm/s
Find:
Velocity of car
Computation:
Velocity = Momentum / mass
Velocity of car = 120,000 / 1,600
Velocity of car = 75 m/s
Answer: 2.19 seconds
Explanation:
<u>Given:</u>
Initial speed, u = 0 m/s
Acceleration of the boat, a = 5 m/s^2
Distance between the boat and dock, d = 12 m
Using the third kinematics equation to solve for time:
d = u*t + (1/2)*a*t^2
12 = 0*t + (1/2)*5*t^2
t = sqrt (12*2/5)
t = 2.19 seconds
Therefore, it will take the boat approximately 2.19 seconds to reach the dock