Answer:
Vy = 0
y(max) = 137,76 m
x(max) = 318 m
Explanation:
We are dealing with a projectile movement
And from problem statement we know:
θ = 60⁰ then sin θ = sin 60⁰ = √3/2 and cos 60⁰ = 1/2 and g = 9.8 m/sec²
V₀ = 60 m/sec
V₀x = V₀ *cosθ Vx = V₀x Vx = Constant then Vx = V₀ *cosθ
Then Vx = 60* 1/2 Vx = 30 m/sec
V₀y = V₀ *sinθ ⇒ V₀y =60*√3/2 ⇒ V₀y = = 30*√3 m/sec
Vy = V₀y * sin θ - g*t
When Vy = 0 (maximum height point) we are half of the way for the ball to hit the ground, then
Vy = 0 ⇒ V₀y - g*t = 0 ⇒ 30*√3 (m /sec) = 9,8 (m/sec²)* t
t = 30*√3/9.8 t = 5.30 sec
y(max) = y₀ + V₀y*t - 1/2 * g*t²
By substitution:
y (max) = 0 + 30*√3 * 5.30 - 0,5* 9.8* (5.3)²
y(max) = 275,40 - 137,64
y(max) = 137,76 m
And finally x(max)
x(max) = Vx *t = 30* 2*5,3
x(max) = 318 m
Answer:
a) 120 N
b) 5 N
c) 0.2 N
d) Mass remains the same, and weight decreases.
Explanation:
<em>Use the formula W = mg, where mass is in kg, and gravitational field strength in N/kg.</em>
a)
W = mg
= 12 × 10
= <u>120 N</u>
b)
500 g = 0.5 kg
W = mg
= 0.5 × 10
= <u>5 N</u>
c)
20 g = 0.02 kg
W = mg
= 0.02 × 10
= <u>0.2 N</u>
d)
<u>Mass remains the same, and weight decreases.</u>
Answer:
P₁ = 192 W and P₂ = 384 W
Explanation:
It is given that,
Resistor 1,
Resistor 2,
Voltage, V = 48 V
Power dissipated by resistor 1 is given by :
P₁ = 192 watts
Power dissipated by resistor 2 is given by :
P₂ = 384 watts
So, the power dissipated by both the resistors is 192 watts and 384 watts respectively. Hence, this is the required solution.
The zebra could be "hen pecked" if the vulture was a hen bird. On the other hand, the two might get along ok. In UK, it they 'd make a useful combination helping each other to cross increasingly dangerous roads (joke).