Advertisements
Advertisements
प्रश्न
The total energy E possess by a body of Mass 'm', moving with a velocity 'v' at a height 'h' is given by: E = `(1)/(2) "m" "u"^2 + "mgh"`. Find m, if v = 2, g = 10, h = 5 and E = 104.
उत्तर
E = `(1)/(2)"m" "u"^2 + "mgh"`
⇒ E = `"m"(1/2 "u"^2 + "gh")`
⇒ m = `"E"/(1/2 "u"^2 + "gh")`
⇒ m = `"E"/(("u"^2 + 2"gh")/(2)`
⇒ m = `(2"E")/("u"^2 + 2"gh")`
Given that v = 2, g = 10, h = 5 and E = 104
⇒ m = `(2(104))/((2)^2 + 2(10)(5)`
⇒ m = `(208)/(4 + 100)`
⇒ m = 2.
APPEARS IN
संबंधित प्रश्न
The simple interest on a sum of money is the product of the sum of money, the number of years and the rate percentage. Write the formula to find the simple interest on Rs A for T years at R% per annum.
A man bought 25a articles at 30p paisa each and sold them at 20q paisa each. Find his profit in rupees.
Make a the subject of formula S = `("a"("r"^"n" - 1))/("r" - 1)`
Make k the subject of formula T = `2pisqrt(("k"^2 + "h"^2)/"hg"`
If 3ax + 2b2 = 3bx + 2a2, then express x in terms of a and b. Also, express the result in the simplest form.
If b = `(2"a")/("a" - 2)`, and c = `(4"b" - 3)/(3"b" + 4)`, then express c in terms of a.
Make a the subject of the formula S = `"n"/(2){2"a" + ("n" - 1)"d"}`. Find a when S = 50, n = 10 and d = 2.
Make y the subject of the formula `x/"a" + y/"b" `= 1. Find y, when a = 2, b = 8 and x = 5.
The pressure P and volume V of a gas are connected by the formula PV = C; where C is a constant. If P = 4 when V = `2(1)/(2)`; find the value of P when V = 4?
If s = `"n"/(2)[2"a" + ("n" - 1)"d"]`, the n express d in terms of s, a and n. find d if n = 3, a = n + 1 and s = 18.
