Say the horizontal component of the velocity is vx and the vertical is vy.
Initially at t=0 (as the mug leaves the bar) the components are v0x and v0y.
Obviously (I hope!) v0y = 0.
The equations for horizontal and vertical projectile motion (with the positive direction up) are
x = x0 + v0x t
y = y0 + v0y t - 1/2 g t^2 = y0 - 1/2 g t^2
Now choose the origin to be the end of the counter. x0=0 and y0=0. The equations simplify to
x = v0x t
y = - 1/2 g t^2
You know that x = 1.20m when y = -0.88m
From the y equation (and g=10 m/s^2) you can calculate the time that the mug hits the floor.
t = 0.420s
From the x equation we get the initial horizontal velocity
v0x = x/t = 1.2/0.42 = 2.86 m/s
(b) x-component of velocity is constant since there are no horizontal forces so vx = 2.86 m/s
y-component is given by v = u+at with u=0 and a=-g
vy = -gt = -4.2m/s
Now tan(angle) = vy/vx so angle = arctan(vy/vx)
Answer:
a)
b)
c)
Explanation:
From the question we are told that:
Intensity I= 1.36 kW/m2=>1360W/m
b)Average mass per square meter m = 0.170 kg
c)
a)
Generally the equation for force per square meter is mathematically given by
b)
Generally the equation for force is mathematically given by
F=ma
Therefore
c)
Generally the Newton's equation for Motion is mathematically given by
Answer:
Long distance transport of nitrogenous air pollution is important and people who drive are influencing the occurrence of acidic loving lichen species
Explanation:
The minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed without sleeping is 1.97.
<h3>Minimum coefficient of friction </h3>
The minimum coefficient of friction is calculated as follows;
F = μmg = mac
μmg = mac
where;
- ac is centripetal acceleration
μg = ac
μg = v²/r
μ = v²/rg
where;
- μ is the minimum coefficient of friction
- v is velocity
- r is radius of the path
- g is acceleration due to gravity
μ = (1.39²)/(0.1 x 9.8)
μ = 1.97
Thus, the minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed without sleeping is 1.97.
Learn more about minimum coefficient of friction here: brainly.com/question/23971360
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