Answer:
a. ac = 1844.66 m/s²
b. Fc = 265.63 N
Explanation:
a.
The centripetal acceleration of the ball is given as follows:
ac = v²/r
where,
ac = centripetal acceleration = ?
v = speed of ball = (87 mph)(1 h/ 3600 s)(1609.34 m / 1 mile) = 38.9 m/s
r = radius of path = 82 cm = 0.82 m
Therefore,
ac = (38.9 m/s)²/0.82 m
<u>ac = 1844.66 m/s²</u>
<u></u>
b.
The centripetal force is given as:
Fc = (m)(ac)
Fc = (0.144 kg)(1844.66 m/s²)
<u>Fc = 265.63 N</u>
Answer:
Deceleration = 5.7 m/s²
Explanation:
We are given;
Deceleration of the car; d = -3.15 m/s²
Angle of inclination; θ = 9.7°
Coefficient of friction will be calculated as; μ = d/g = 3.15/9.81 = 0.3211
Now,the acceleration would be gotten from the formula;
a = g (sin(θ) + μ cos(θ))
Plugging in the relevant values to give;
a = 9.81[sin 9.7 + (0.3211 × cos (9.7)]
sin 9.7 and cos 9.7 are in radians, thus we have;
a = 9.81(-0.2718 + (0.3211 × -0.9624))
a = -5.7 m/s²
Negative acceleration means a Deceleration of 5.7 m/s²
Answer:
Autonomy
Explanation:
Dialectics theory represents a relationship that define one communication between individuals. This theory is mainly focused on the struggle that occurs in a relationship.
In dialectics theory, autonomy is a term used to indicate one desire to be with another person but remain apart. autonomy is referred to as the control of one's life without being with them.
The Mandela effect is a good example of time travel
Answer:
v = 44m/s
Explanation:
Using the equation of motion
v = u + at
Because it's under gravity
v = u + gt , where
v = final velocity
u = initial velocity
g = acceleration due to gravity
t = time taken
From the question
v=?
u = 15m/s
g = 9.81m/s²
t = 3s
Therefore v = u + gt
v = 15 + 9.81(3)
v = 15 + 29.43
v = 44.43m/s
Approximating to nearest whole number
v = 44m/s
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