<span>The height (h) of a triangle is 4 in. greater than twice its base (x): h = 2x + 4
</span>The area of the triangle is no more than 168 in.2: A ≤ 168 in²
The area of the triangle is A = x*h/2
Hence x*h/2 ≤ 168 in²
Substitute h in the formula for the area:
h = 2x + 4 = 2(x + 2)
x*h/2 ≤ 168 in²
x * 2(x + 2)/2 ≤ 168
x * (x + 2) ≤ 168
x² + 2x ≤ 168
x² + 2x - 168 ≤ 0
Using the formula for quadratic equation:
Explanation:
It is given that, the field near a typical pulsed-field machine rises from 0 T to 2.5 T in 200 μs
Change in magnetic field, 
Change in time, 
Diameter, d = 2.3 cm
Radius, r = 0.0115 m
Emf is induced in the ring as the field changes. It is given by :




E = 5.19 volts
So, the emf induced in the ring is 5.19 volts. Hence, this is the required solution.
Answer:
Explanation:
When beam is balanced and not rotating with Suki standing on it , let reaction force on the supports be R₁ and R₂. Then
R₁ +R₂ = 336 + 590
= 929
Now the moment beam begins to tip , reaction on distant support R₁ = 0
only R₂ will exists on the support near to Suki.
Taking torque about this support of weight of beam acting from the middle point and weight of suki of 590N ,who is x distance from the support towards the other end.
336 x 1.5 = 590 x
x = .85 m
ie , from second support , Suki can not go beyond a distance of .85 m towards the second end.
Answer:
45.1/3× 3.1/2 + 50.1/2× 2.1/2
=136/3. 7/2.+ 101/2× 5/2
=952/6 + 505/2
=( 952+ 1515)/6
=411.16
Explanation:
Make sure to read and go with it
The acceleration of gravity (on Earth) is 9.8 m/s² downward.
This means that every falling object gains 9.8 m/s more downward speed
every second that it falls.
In 5 seconds of falling, it gains (5 x 9.8 m/s) = 49 m/s of downward speed.
If it was already descending at 2.0 m/s at the beginning of the 5 sec,
then at the end of the 5 sec it would be descending at
(2 m/s + 49 m/s) = 51 m/s .